Question

A soccer ball is kicked with an initial speed of 27 m/s at an angle of 20° with respect to the horizontal.
A) find the maximum height reached by the ball.
B) find the speed of the ball when it is at the highest point on its trajectory.
C) where does the ball land? That is what is the range of the ball?

Answer 1

Vo = 27m/s @ 20 Deg.
Xo = 27*cos20 = 25.4 m/s = Hor. comp.
Yo = 27*sin20 = 9.2 m/s. = Ver. comp.

A. h = (Y^2-Yo^2)/ 2g.
h = (0-(9.2)^2 / -19.6 = 4.35 m.

B. V = 0 @ max. ht.

C. R = Vo^2*sin(2A)/g.
R = (27)^2*sin40 / 9.8 = 47.8 m.